Literature cited
S.-L. Eriksson and H. Leutwiler, “A potential theoretic approach to parallel addition,” Math. Ann.,274, 301–317 (1986).
M. N. Anderson and G. E. Trapp, “The extreme points of a set of positive semidefinite operators,” Linear Algebra Appl.,106, 209–217 (1988).
É. L. Pekarev, “Convolutions of operators and some extremal problems,” Submitted to the Ukrainian National Institute for Scientific and Technical Information (UkrNINITI), March 21, 1989, No. 832-Uk 89, Kiev (1989).
É. L. Pekarev, “The closure in an operator range,” Submitted to the Ukrainian National Institute for Scientific and Technical Information (UkrNINITI), November 17, 1989, No. 832-Uk 89, Kiev (1989).
É. L. Pekarev, “A convolution on an operator range,” Funkts. Anal. Prilozh.,12, 84–85 (1978).
P. A. Fillmore and J. P. Williams, “On operator ranges,” Adv. Math.,7, 254–281 (1971).
W. N. Anderson and R. J. Daffin, “Series and parallel addition of matrices,” J. Math. Anal. Appl.,26, 576–594 (1969).
W. N. Anderson and G. E. Trapp, “Shorted operators,” II/SIAM J. Appl. Math.,28, 60–71 (1975).
É. L. Pekarev and Yu. L. Shmul'yan, “The parallel composition and parallel evaluation of operators,” Izv. Akad. Nauk SSSR, Ser. Mat.,40, 366–387 (1976).
T. Ando, “Lebesgue-type decomposition of positive operators,” Acta Sci. Math.,38, 253–260 (1976).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 50, No. 4, pp. 96–101, October, 1991.
Rights and permissions
About this article
Cite this article
Pekarev, É.L. Extreme subsets of operator intervals. Mathematical Notes of the Academy of Sciences of the USSR 50, 1051–1054 (1991). https://doi.org/10.1007/BF01137737
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01137737